The waiting time at a bus station can be modeled as a continuous random variable T inunits of minutes. The random variable is statistically described by its probability densityt/3OsI33/2function f, () given by f, (1) ={-(t / 5) +4/5 3/2s154. a) Verify that f, (1) as given isotherwisea) define the event B= {T >1} . Obtain theconditional probability density function f;(t / B) of the random variable T and verify thatthe solution proposed is indeed a valid probability density function.b) Based on the information given in Problem a, define the event B = {T > 1} . Obtain theconditional cdf F, (t / B) and verify that the solution proposed is indeed a valid probabilitydensity function. Plot this conditional cdf (use MATLAB).c) Based on the work in Problem b, determine the conditional mean E{T / B} and theconditional variance var{T / B} of the random variable T.

Answered: The waiting time at a bus station can…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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